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Finding the Fourth Proportional to 11,476.97, 15,838.01 and 6,440.79

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Solution

The fourth proportional to 11,476.97, 15,838.01 and 6,440.79 is: 8,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.97 : 15,838.01 = 6,440.79 : x
  2. Step 2: Convert to fraction form
    11,476.97/15,838.01 = 6,440.79/x
  3. Step 3: Cross multiply
    11,476.97x = 15,838.01 × 6,440.79
  4. Step 4: Simplify right side
    11,476.97x = 102,009,347.77
  5. Step 5: Solve for x
    x = 102,009,347.77/11,476.97
  6. Step 6: Final answer
    x = 8,888.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.